What is -6/10 + 2/8
To add fractions, you need to have a common denominator.
The least common multiple (LCM) of 10 and 8 is 40, so we can rewrite the fractions with the same denominator of 40:
-6/10 = -24/40
2/8 = 5/20
Now, we can add the fractions:
-24/40 + 5/20 = -24/40 + 5/20
Since the denominators are the same, we can directly add the numerators:
-24/40 + 5/20 = (-24 + 5)/40
Simplifying the numerator:
(-24 + 5) = -19
Therefore, the answer is -19/40.
To add or subtract fractions, they must have the same denominator.
Let's find a common denominator for -6/10 and 2/8.
The common denominator can be the least common multiple (LCM) of 10 and 8.
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, ...
From the lists above, we can see that the LCM of 10 and 8 is 40.
Next, let's convert -6/10 and 2/8 to fractions with a denominator of 40.
-6/10 can be rewritten as -24/40 (multiply numerator and denominator by 4).
2/8 can be rewritten as 5/40 (multiply numerator and denominator by 5).
Now, we can add the fractions:
-24/40 + 5/40 = -19/40
Therefore, -6/10 + 2/8 is equal to -19/40.
To add these two fractions (-6/10 and 2/8), we first need to find a common denominator.
The common denominator is the least common multiple (LCM) of the denominators, which are 10 and 8. To find the LCM, we can list the multiples of each denominator and find the smallest number that appears in both lists:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ...
Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, ...
From the lists, we can see that the smallest number that appears in both lists is 40. So, the LCM of 10 and 8 is 40.
Now, let's convert the fractions to have a common denominator of 40:
For -6/10, we multiply both the numerator and denominator by 4:
-6/10 * 4/4 = -24/40
For 2/8, we multiply both the numerator and denominator by 5:
2/8 * 5/5 = 10/40
Now, the fractions have the same denominator, and we can add them:
-24/40 + 10/40 = -14/40
However, this fraction can be simplified by finding the greatest common divisor (GCD) of the numerator and denominator, which is 2:
-14/40 รท 2/2 = -7/20
So, -6/10 + 2/8 is equal to -7/20.